Online GCD Calculator is useful to find the GCD of 705, 160, 689, 780 quickly. Get the easiest ways to solve the greatest common divisor of 705, 160, 689, 780 i.e 1 in different methods as follows.
Given Input numbers are 705, 160, 689, 780
In the factoring method, we have to find the divisors of all numbers
Divisors of 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 160 :
The positive integer divisors of 160 that completely divides 160 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Divisors of 689 :
The positive integer divisors of 689 that completely divides 689 are.
1, 13, 53, 689
Divisors of 780 :
The positive integer divisors of 780 that completely divides 780 are.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
GCD of numbers is the greatest common divisor
So, the GCD (705, 160, 689, 780) = 1.
Given numbers are 705, 160, 689, 780
The list of prime factors of all numbers are
Prime factors of 705 are 3 x 5 x 47
Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 689 are 13 x 53
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 705, 160, 689, 780
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(705, 160) = 22560
GCD(705, 160) = ( 705 x 160 ) / 22560
= 705 / 160
= 705
Step2:
LCM(5, 689) = 3445
GCD(5, 689) = ( 5 x 689 ) / 3445
= 5 / 689
= 5
Step3:
LCM(1, 780) = 780
GCD(1, 780) = ( 1 x 780 ) / 780
= 1 / 780
= 1
So, Greatest Common Divisor of 705, 160, 689, 780 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 705, 160, 689, 780
The greatest common divisor of numbers 705, 160, 689, 780 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 160, 689, 780 is 1.
1. What is the GCD of 705, 160, 689, 780?
GCD of given numbers 705, 160, 689, 780 is 1
2. How to calculate the greatest common divisor of 705, 160, 689, 780?
We can find the highest common divisor of 705, 160, 689, 780 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 705, 160, 689, 780 i.e 1.
3. How can I use the GCD of 705, 160, 689, 780Calculator?
Out the numbers 705, 160, 689, 780 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.